Chemistry
10.03.2021 16:27
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Apiece of metal weighing 59.047 g was heated to 100.0 °c and then put it into 100.0

Apiece of metal weighing 59.047 g was heated to 100.0 °c and then put it into 100.0 ml of water (initially at 23.7 °c). the metal and water had final temp of 27.8 °c. what is the specific heat of the metal?
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briannianoel876
briannianoel876
4,6(62 marks)

The specific heat of metal is 0.403J/g°C

Explanation:

To calculate the mass of water, we use the equation:

\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}

Density of water = 1 g/mL

Volume of water = 100.0 mL

Putting values in above equation, we get:

1g/mL=\frac{\text{Mass of water}}{100.0mL}\\\\\text{Mass of water}=(1g/mL\times 100.0mL)=100g

When metal is dipped in water, the amount of heat released by metal will be equal to the amount of heat absorbed by water.

Heat_{\text{absorbed}}=Heat_{\text{released}}

The equation used to calculate heat released or absorbed follows:

Q=m\times c\times \Delta T=m\times c\times (T_{final}-T_{initial})

m_1\times c_1\times (T_{final}-T_1)=-[m_2\times c_2\times (T_{final}-T_2)]       ......(1)

where,

q = heat absorbed or released

m_1 = mass of metal = 59.047 g

m_2 = mass of water = 100 g

T_{final} = final temperature = 27.8°C

T_1 = initial temperature of lead = 100°C

T_2 = initial temperature of water = 23.7°C

c_1 = specific heat of lead = ?

c_2 = specific heat of water= 4.186 J/g°C

Putting values in equation 1, we get:

59.047\times c_1\times (27.8-100)=-[100\times 4.186\times (27.8-23.7)]

c_1=0.403J/g^oC

Hence, the specific heat of metal is 0.403J/g°C

keniaguevara32
keniaguevara32
4,7(33 marks)
Mg (s) + 2 HCl (aq) -> MgCl2 (aq) + H2 (g)

1) Number of mols of HCl, n

n = 6.3 L * 4.5 mol/L = 28.35 mol

2) ratio: 2 mol HCl / 1 mol Mg = 28.35 mol HCl / x mol Mg

x = 28.35 mol HCL * 1 mol Mg / 2 mol HCL = 14.175 mol Mg

3) Convert mol to mass using atomic mass of Mg

14.175 mol Mg * 24.3 g Mg / mol Mg = 344. 45 g

344.45 g

 

 

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